SOLUTION: Describe the procedure used to write the standard equation of the ellipse defined by {{{ 9x^2+4y^2+18x-40y+73=0 }}}

Question 141988: Describe the procedure used to write the standard equation of the ellipse defined by
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Rearrange the terms

Subtract from both sides

Complete the square for the x terms

Complete the square for the y terms

Combine like terms

Add to both sides

Combine like terms

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Now divide both sides by 36 to make the right side equal to 1

Break up the fraction

Reduce

So the equation is now in the standard form of an ellipse where , , , and

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